Place 1⁄2 c honey + 1⁄2 c water + 3 whole sprigs of fresh rosemary in a small saucepan on stove top over medium heat.
Allow mixture to just begin to bubble, turn to low and cook 1-2 minutes, stirring occasionally. Set aside to cool.
In a large pitcher, place: 2 c ice cubes + 2 c pomegranate juice + 1⁄2 c vodka + 4 c soda water.
Remove rosemary sprigs from simple syrup and add simple syrup to the pitcher. Stir to combine. Option to serve with a rosemary garnish.